Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (p^q) → (q r) b. ((-p → q) ^ (p → r) ^ (q → r)) →r
Use the laws of propositional logic to prove that the following compound propositions are tautologies. a. (p^q) → (q r) b. ((-p → q) ^ (p → r) ^ (q → r)) →r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the laws of propositional logic to prove that the following compound
tautologies.
propositions are
a. (p ^q) → (q vr)
b. ((¬p → q) ^ (p → r) ^ (q → r)) → r
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